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Finding the Fourth Proportional to 229.76, 344.94 and 212.75

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Solution

The fourth proportional to 229.76, 344.94 and 212.75 is: 319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.76 : 344.94 = 212.75 : x
  2. Step 2: Convert to fraction form
    229.76/344.94 = 212.75/x
  3. Step 3: Cross multiply
    229.76x = 344.94 × 212.75
  4. Step 4: Simplify right side
    229.76x = 73,383.20
  5. Step 5: Solve for x
    x = 73,383.20/229.76
  6. Step 6: Final answer
    x = 319.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.